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Finding the Third Proportional to 63,544 and 137,550

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Solution

The third proportional to 63,544 and 137,550 is: 297,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,544 : 137,550 = 137,550 : x
  2. Step 2: Convert to fraction form
    63,544/137,550 = 137,550/x
  3. Step 3: Cross multiply
    63,544x = 137,550 × 137,550
  4. Step 4: Simplify right side
    63,544x = 18,920,002,500
  5. Step 5: Solve for x
    x = 18,920,002,500/63,544
  6. Step 6: Final answer
    x = 297,746.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.